on a small server in Helsinki, Finland,
Where is the proof?
at 6:15 pm of server time
There is no "server time". There is only block times which are in UTC.
was dug out.
The correct term is "mined"

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The world was plagued by recession then, to commemorate the coming of Bitcoin, Satoshi Nakamoto engraved the headline of the front page of The Times of the day——The Times 03/Jan/2009, Chancellor on brink of second bailout for banks on the first block.
This is mostly a timestamp proving that bitcoin's genesis block did not exist before this date.
Without Genesis Block, Bitcoin must have disappeared already, let alone Bitcoin community trusted by tens of millions of people around the world and crypto field spread all over the world.
This statement makes no sense. For starters a "chain" has to have a beginning but that doesn't make block 0 any more special than others and it makes no sense to say the chain disappears without a start! It can not exist without a start!
Also people don't trust bitcoin because it has genesis block, people trust bitcoin because it is secure, decentralized, censorship resistant, has a capped supply and in short because it works as it promised.
To commemorate Satoshi Nakamoto, the first block of all cryptocurrency projects with independent public chain network will be named Genesis Block like Bitcoin did.
Wrong. Maybe true only for one in a thousand but for the rest are using the name "genesis" for block 0 because they have either copied bitcoin core and the variable name is not changed, or simply because the word "genesis" means "beginning".
But, have you ever thought about why did Satoshi Nakamoto pick the name Genesis Block? Is there any other meaning here?
No. The word literary means beginning or root and that is the literal meaning of the block 0!
He could have named each block in the form of Arabic number such as Block #0, Block #1, Block #2, Block #3, Block #X to render those blocks appear equal. But he didn't.
We do do that too. Each block has an associated number called its "height". For example the current best chain's height is 696,174 and the first block was 0.